5,865,500

2² × 5³ × 11731

Starting at 5,865,500, the Collatz iteration reaches 1 after 183 steps. The first transition is 2932750; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 11731

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,811,344

Proper Divisor Sum 6,945,844

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5865487 ← → #5865533

Radix Representation

Decimal	5865500
Binary	10110011000000000011100 (23 bits)
Octal	0o26300034
Hexadecimal	0x59801C

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 11,731 23,462 46,924 58,655 117,310 234,620 293,275 586,550 1,173,100 1,466,375 2,932,750 5,865,500

Collatz Trajectory (183 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,865,500 2,932,750 1,466,375 4,399,126 2,199,563 6,598,690 3,299,345 9,898,036 4,949,018 2,474,509 7,423,528 3,711,764 1,855,882 927,941 2,783,824 1,391,912 695,956 347,978 173,989 521,968 260,984 130,492 65,246 32,623 97,870 48,935 146,806 73,403 220,210 110,105 330,316 165,158 82,579 247,738 123,869 371,608 185,804 92,902 46,451 139,354 69,677 209,032 104,516 52,258 26,129 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034

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